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Finding the Fourth Proportional to 120,809.80, 181,214.70 and 78,819.40

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Solution

The fourth proportional to 120,809.80, 181,214.70 and 78,819.40 is: 118,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,809.80 : 181,214.70 = 78,819.40 : x
  2. Step 2: Convert to fraction form
    120,809.80/181,214.70 = 78,819.40/x
  3. Step 3: Cross multiply
    120,809.80x = 181,214.70 × 78,819.40
  4. Step 4: Simplify right side
    120,809.80x = 14,283,233,925.18
  5. Step 5: Solve for x
    x = 14,283,233,925.18/120,809.80
  6. Step 6: Final answer
    x = 118,229.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.